448298496 has 80 divisors (see below), whose sum is σ = 1327035600. Its totient is φ = 149428224.

The previous prime is 448298467. The next prime is 448298503. The reversal of 448298496 is 694892844.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2391 + ... + 30038.

It is an arithmetic number, because the mean of its divisors is an integer number (16587945).

Almost surely, 2^448298496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448298496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663517800).

448298496 is an abundant number, since it is smaller than the sum of its proper divisors (878737104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

448298496 is an equidigital number, since it uses as much as digits as its factorization.

448298496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32456 (or 32434 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 448298496 is about 21173.0606195703. The cubic root of 448298496 is about 765.3423765424.

The spelling of 448298496 in words is "four hundred forty-eight million, two hundred ninety-eight thousand, four hundred ninety-six".